Search a number
-
+
810134676 = 2233134712277
BaseRepresentation
bin110000010010011…
…010110010010100
32002110102002212000
4300102122302110
53124343302201
6212215555300
726035013451
oct6022326224
92073362760
10810134676
1138633319a
121a738bb30
13cbac0b40
1479846828
154b1c9d86
hex3049ac94

810134676 has 96 divisors (see below), whose sum is σ = 2310228480. Its totient is φ = 243948672.

The previous prime is 810134671. The next prime is 810134683. The reversal of 810134676 is 676431018.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 810134676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810134671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59850 + ... + 72126.

It is an arithmetic number, because the mean of its divisors is an integer number (24064880).

Almost surely, 2810134676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810134676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155114240).

810134676 is an abundant number, since it is smaller than the sum of its proper divisors (1500093804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

810134676 is a wasteful number, since it uses less digits than its factorization.

810134676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12350 (or 12342 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 810134676 is about 28462.8648593215. The cubic root of 810134676 is about 932.2214118423.

The spelling of 810134676 in words is "eight hundred ten million, one hundred thirty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 47 52 54 78 94 108 117 141 156 188 234 282 351 423 468 564 611 702 846 1222 1269 1404 1692 1833 2444 2538 3666 5076 5499 7332 10998 12277 16497 21996 24554 32994 36831 49108 65988 73662 110493 147324 159601 220986 319202 331479 441972 478803 577019 638404 662958 957606 1154038 1325916 1436409 1731057 1915212 2308076 2872818 3462114 4309227 5193171 5745636 6924228 7501247 8618454 10386342 15002494 15579513 17236908 20772684 22503741 30004988 31159026 45007482 62318052 67511223 90014964 135022446 202533669 270044892 405067338 810134676